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Finding the Fourth Proportional to 5,679, 7,831.98 and 3,687.66

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Solution

The fourth proportional to 5,679, 7,831.98 and 3,687.66 is: 5,085.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679 : 7,831.98 = 3,687.66 : x
  2. Step 2: Convert to fraction form
    5,679/7,831.98 = 3,687.66/x
  3. Step 3: Cross multiply
    5,679x = 7,831.98 × 3,687.66
  4. Step 4: Simplify right side
    5,679x = 28,881,679.37
  5. Step 5: Solve for x
    x = 28,881,679.37/5,679
  6. Step 6: Final answer
    x = 5,085.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.